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Finding the Fourth Proportional to 775.31, 1,071.33 and 553.87

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Solution

The fourth proportional to 775.31, 1,071.33 and 553.87 is: 765.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.31 : 1,071.33 = 553.87 : x
  2. Step 2: Convert to fraction form
    775.31/1,071.33 = 553.87/x
  3. Step 3: Cross multiply
    775.31x = 1,071.33 × 553.87
  4. Step 4: Simplify right side
    775.31x = 593,376.81
  5. Step 5: Solve for x
    x = 593,376.81/775.31
  6. Step 6: Final answer
    x = 765.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.